HWS09_14 - P1112 Spring 2009 Homework #14 will not be...

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P1112 Spring 2009 Homework #14 will not be collected. Solutions posted Friday May 1, and some of the HW will be covered in section. Reading: 13.3 – 13.8 (you may skip 13.4 molecules) Problems: 1. Y&F 11.72 Lifting a bicycle wheel over a curb. 2. Physical pendulum. 3. The position as a function of time t for a block of mass m oscillating on a horizontal ideal spring of spring constant k is x ( t ) = A cos( ω t ). (a) Write the oscillator's velocity v ( t ) and acceleration a ( t ) in the form C cos( t + φ ), with C > 0, and find the constants C and for each function. Your answers should be in terms of A, , and numerical constants. (b) Write the oscillator's kinetic energy K ( t ) and elastic potential energy U ( t ) as functions of time t that are linear in sine or cosine of t . Your answers should be in terms of A, , k, m, and numerical constants. [HINT: The following trig identities will be useful: sin 2 θ = (1 - cos2 θ )/2 and cos 2 θ = (1 + cos2 θ )/2.] (c) For
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This note was uploaded on 12/25/2009 for the course PHYS 1112 taught by Professor Leclair,a during the Spring '07 term at Cornell University (Engineering School).

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